Answer:
Step-by-step explanation:
Hi there!
<u>What we need to know:</u>
- Linear equations are typically organized in slope-intercept form:
where m is the slope and b is the y-intercept (the value of y when x is equal to 0)
<u>1) Determine the slope (m)</u>
where two points that the line passes through are 
and 
We're given the point (2,10) and the y-intercept of 4. Recall that the y-intercept occurs when x is equal to 0. This means that the y-intercept occurs at (0,4), giving us our second point.
Plug these points into the equation
Therefore, the slope of the line is 3. Plug this into
<u>2) Determine the y-intercept (b)</u>
The y-intercept is given; it is 4. Plug this back into
I hope this helps!
It would be 7 divided by 11( note: always divide the top by the bottom)
Answer:
Not really
Step-by-step explanation:
NOT NECESSARILY would a triangle be equilateral if one of its angles is 60 degrees. To be an equilateral triangle (a triangle in which all 3 sides have the same length), all 3 angles of the triangle would have to be 60°-angles; however, the triangle could be a 30°-60°-90° right triangle in which the side opposite the 30 degree angle is one-half as long as the hypotenuse, and the length of the side opposite the 60 degree angle is √3/2 as long as the hypotenuse. Another of possibly many examples would be a triangle with angles of 60°, 40°, and 80° which has opposite sides of lengths 2, 1.4845 (rounded to 4 decimal places), and 2.2743 (rounded to 4 decimal places), respectively, the last two of which were determined by using the Law of Sines: "In any triangle ABC, having sides of length a, b, and c, the following relationships are true: a/sin A = b/sin B = c/sin C."¹
Answer:
It is not evident the mean annual premium in Pennsylvania is lower than the national mean annual premium
Step-by-step explanation:
Given that annual premium for automobile insurance in the United States (Insure website, March 6, 2014), are as follows:
Mean 1440.00
SD 165.00
SEM 33.00
N 25
a) 
(left tailed test at 5% level)
b) a point estimate of the difference between the mean annual premium in Pennsylvania and the national mean
=
c) df = 24
standard error of difference = 33.000
t = 1.9091
The 95% confidence interval of this difference:
From -131.11 to 5.11
p value = 0.0683
Since p >0.05, we accept H0
It is not evident the mean annual premium in Pennsylvania is lower than the national mean annual premium
